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Simplifying (x + 2)(2x + -4) = (2x + -1)(x) Reorder the terms: (2 + x)(2x + -4) = (2x + -1)(x) Reorder the terms: (2 + x)(-4 + 2x) = (2x + -1)(x) Multiply (2 + x) * (-4 + 2x) (2(-4 + 2x) + x(-4 + 2x)) = (2x + -1)(x) ((-4 * 2 + 2x * 2) + x(-4 + 2x)) = (2x + -1)(x) ((-8 + 4x) + x(-4 + 2x)) = (2x + -1)(x) (-8 + 4x + (-4 * x + 2x * x)) = (2x + -1)(x) (-8 + 4x + (-4x + 2x2)) = (2x + -1)(x) Combine like terms: 4x + -4x = 0 (-8 + 0 + 2x2) = (2x + -1)(x) (-8 + 2x2) = (2x + -1)(x) Reorder the terms: -8 + 2x2 = (-1 + 2x)(x) Reorder the terms for easier multiplication: -8 + 2x2 = x(-1 + 2x) -8 + 2x2 = (-1 * x + 2x * x) -8 + 2x2 = (-1x + 2x2) Add '-2x2' to each side of the equation. -8 + 2x2 + -2x2 = -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 + 0 = -1x + 2x2 + -2x2 -8 = -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 = -1x + 0 -8 = -1x Solving -8 = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + x = -1x + x Combine like terms: -1x + x = 0 -8 + x = 0 Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8
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